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Algebraic Methods

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Question 158
i.

Use proof by contradiction to show that for all x∈Rx \in \mathbb{R}x∈R

x4+100≥20x2 x^4 + 100 \ge 20x^2 x4+100≥20x2
[3]
ii.

Show that the following statement is not true.

"The sum of three consecutive even integers is always a multiple of 12."

[2]

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 226 questions covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank